Boris Tsirelson

Boris Semyonovich Tsirelson (May 4, 1950 – January 21, 2020) (Hebrew: בוריס סמיונוביץ' צירלסון, Russian: Борис Семёнович Цирельсон) was a Russian–Israeli mathematician and Professor of Mathematics at Tel Aviv University in Israel, as well as a Wikipedia editor.

Boris Tsirelson
Boris Tsirelson in 2005
Born	(1950-05-04)May 4, 1950 Leningrad, Soviet Union
Died	January 21, 2020(2020-01-21) (aged 69) Basel, Switzerland
Known for	Tsirelson's bound Tsirelson space Tsirelson's stochastic differential equation Gaussian isoperimetric inequality
Scientific career
Thesis	General properties of bounded Gaussian processes and related questions[1]  (1975)
Doctoral advisor	Ildar Ibragimov

Biography

Boris Tsirelson while a first-year student, in 1967

Tsirelson was born in Leningrad to a Russian Jewish family. From his father Simeon's side, he was the great-nephew of rabbi Yehuda Leib Tsirelson, chief rabbi of Bessarabia from 1918 to 1941, and a prominent posek and Jewish leader. He obtained his Master of Science from the University of Leningrad and remained there to pursue graduate studies. He obtained his Ph.D. in 1975, with thesis "General properties of bounded Gaussian processes and related questions" written under the direction of Ildar Abdulovich Ibragimov.^[1]

Later, he participated in the refusenik movement, but only received permission to immigrate to Israel in 1991. From then until 2017, he was a professor at Tel-Aviv University.

He has also worked on fault-tolerant cellular automaton.^[2]

In 1998 he was an Invited Speaker at the International Congress of Mathematicians in Berlin.^[3]

Contributions to mathematics

Tsirelson made notable contributions to probability theory and functional analysis. These include:

• Tsirelson's bound, in quantum mechanics, is an inequality, related to the issue of quantum nonlocality.^[4]
• Tsirelson space is an example of a reflexive Banach space in which neither a l ^p space nor a c₀ space can be embedded.^[5][6]
• The Tsirelson's drift, a counterexample in the theory of stochastic differential equations, is an SDE which has a weak solution but no strong solution.
• The Gaussian isoperimetric inequality (proved by Vladimir Sudakov and Tsirelson, and independently by Christer Borell), stating that affine halfspaces are the isoperimetric sets for the Gaussian measure.

Death

Tsirelson died on January 21, 2020, at the age of 69.^[7]

References

1. Boris Tsirelson at the Mathematics Genealogy Project
2. Cirel’son, B. S. (1978), "Reliable storage of information in a system of unreliable components with local interactions", Lecture Notes in Mathematics, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 15–30, ISBN 978-3-540-08450-1, retrieved 2024-11-14
3. Tsirelson, Boris (1998). "Within and beyond the reach of Brownian innovation". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. pp. 311–320.
4. Wehner, Stephanie (2006-02-14). "Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities". Physical Review A. 73 (2): 022110. arXiv:quant-ph/0510076. Bibcode:2006PhRvA..73b2110W. doi:10.1103/PhysRevA.73.022110. S2CID 118979741.
5. Mujica, J. (2001-04-01). "Ideals of holomorphic functions on Tsirelson's space". Archiv der Mathematik. 76 (4): 292–298. doi:10.1007/s000130050571. ISSN 0003-889X. S2CID 121557408.
6. Maurey, Bernard (1995-01-01). "A Remark about Distortion". In Lindenstrauss, J.; Milman, V. (eds.). Geometric Aspects of Functional Analysis. Operator Theory Advances and Applications. Birkhäuser Basel. pp. 131–142. arXiv:math/9306212. doi:10.1007/978-3-0348-9090-8_13. ISBN 9783034899024. S2CID 118086685.
7. "The School of Mathematical Sciences mourns the death of our colleague, Professor Boris Tsirelson". February 25, 2020. Archived from the original on February 26, 2020.

External links

• Tsirelson's homepage, at Tel Aviv University
• Mourning page, at Tel Aviv University